Place the eggs in a saucepan and cover with water. Bring to a simmer over medium high heat. Once the water starts to simmer, cook for 6 minutes. Drain well and fill the saucepan with cold tap water. Let the eggs sit until you are ready to peel them.
Reheat the grape leaves in the microwave until hot.
Drain the water from the eggs, carefully peel the shells. Slice the eggs in half. Drizzle with oil, vinegar, and lightly season with salt.
Serve the eggs with leftover stuffed grape leaves and ketchup.